Structural Engineering and Mechanics

  • 제8권2호
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  • Pages.151-164
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  • 1999
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Nonlinear vibration of Mindlin plate subjected to moving forces including the effect of weight of the plate

  • Wang, Rong-Tyai (Department of Engineering Science, National Cheng Kung University) ;
  • Kuo, Nai-Yi (Department of Engineering Science, National Cheng Kung University)
  • 발행 : 1999.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

The large deflection theory of the Mindlin plate and Galerkin's method are employed to examine the static responses of a plate produced by the weight of the plate, and the dynamic responses of the plate caused by the coupling effect of these static responses with a set of moving forces. Results obtained by the large deflection theory are compared with those by the small deflection theory. The results indicate that the effect of weight of the plate increases the modal frequencies of the structure. The deviations of dynamic transverse deflection and of dynamic bending moment produced by a moving concentrated force between the two theories are significant for a thin plate with a large area. Both dynamic transverse deflection and dynamic bending moment obtained by the Mindlin plate theory are greater than those by the classical plate.

키워드

참고문헌

  1. Broyden, C.G. (1965), "A class of methods for solving nonlinear simultaneous equations", Mathematics of Computation, 19, 577-593. https://doi.org/10.1090/S0025-5718-1965-0198670-6
  2. Celep, Z, (1980), "Shear and rotatory inertia effects on the large amplitude vibration of the initially imperfect plates", Journal of Applied Mechanics, 47, 662-666. https://doi.org/10.1115/1.3153751
  3. Chu, H. and Herrmann, G. (1956), "Influence of large amplitude on free flexural vibrations of rectangular elastic plates", Journal of Applied Mechanics, 23, 532-540.
  4. Fung, Y.C. (1965), Foundations of Solid Mechanics, Prentice-Hall, Englewood Cliffs, NJ.
  5. Mindlin, R.D. (1951), "Influence of rotatory inertia and shear on flexural motions of isotropic elastic plates", Journal of Applied Mechanics, 18, 31-38.
  6. Wang, R.T. and Lin, T.Y. (1996), "Vibration of multispan Mindlin plates to a moving load", Journal of the Chinese Institute of Engineers, 19(4), 467-477. https://doi.org/10.1080/02533839.1996.9677810
  7. Wu, C.S. and Vinson, J.R. (1969), "Influences of large amplitudes, transverse shear deformation, and rotatory inertia on lateral vibrations of transversely isotropic plates", Journal of Applied Mechanics, 36, 254-260. https://doi.org/10.1115/1.3564617

피인용 문헌

  1. Three-Dimensional Vibration Analysis of Thick FGM Plate Strips Under Moving Line Loads vol.16, pp.6, 2009, https://doi.org/10.1080/15376490902781209
  2. Vibrations of a Rectangular Bridge as an Isotropic Plate under a Traveling Full Vehicle Model vol.12, pp.1, 2006, https://doi.org/10.1177/1077546306061411
  3. Sound radiation from forced vibration of rectangular orthotropic plates under moving loads vol.281, pp.3-5, 2005, https://doi.org/10.1016/j.jsv.2004.02.005
  4. Nonlinear resonant behaviors of embedded thick FG double layered nanoplates via nonlocal strain gradient theory pp.1432-1858, 2018, https://doi.org/10.1007/s00542-018-4198-2